These activities are part of our Primary collections, which are problems grouped by topic.
![Always, Sometimes or Never?](/sites/default/files/styles/medium/public/thumbnails/content-id-12670-icon.png?itok=UGVEdfeW)
problem
Always, Sometimes or Never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
![Birthday Sharing](/sites/default/files/styles/medium/public/thumbnails/content-id-14052-icon.png?itok=uHtu7Neb)
problem
Birthday Sharing
It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?
![Tables Teaser](/sites/default/files/styles/medium/public/thumbnails/content-id-14242-icon.png?itok=4Li13yQB)
problem
Tables Teaser
How will you work out which numbers have been used to create this multiplication square?
![I'm Eight](/sites/default/files/styles/medium/public/thumbnails/content-98-11-bbprob2-icon.png?itok=y1X7RsxW)
![Catrina's Cards](/sites/default/files/styles/medium/public/thumbnails/content-01-09-letme1-icon.jpg?itok=KrEFA73H)
![Magnifying glass](/sites/default/files/styles/medium/public/2024-08/Number%20Detective%20featured%20image.png?itok=Ny7JLNxz)
![Share Bears](/sites/default/files/styles/medium/public/thumbnails/content-id-2358-icon.png?itok=pzWBzznw)
problem
Share Bears
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
![Are you well Balanced?](/sites/default/files/styles/medium/public/thumbnails/content-id-4734-icon.png?itok=LtGVHatm)
problem
Are you well Balanced?
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
![Clapping Times](/sites/default/files/styles/medium/public/thumbnails/content-id-5482-icon.png?itok=SYS0qBQZ)
problem
Clapping Times
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
![Growing Garlic](/sites/default/files/styles/medium/public/thumbnails/content-id-5579-icon.png?itok=3gT7Jloo)
problem
Growing Garlic
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
![Lots of Biscuits!](/sites/default/files/styles/medium/public/thumbnails/content-id-6883-icon.png?itok=s0VQb3Ei)
![Even and odd](/sites/default/files/styles/medium/public/thumbnails/content-id-6895-icon.png?itok=koeHIdLD)
problem
Even and odd
This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?
![Our Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-7006-icon.jpg?itok=Y8L_7Kgp)
problem
Our Numbers
These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?
![Ip Dip](/sites/default/files/styles/medium/public/thumbnails/content-id-7185-icon.gif?itok=t93ltWdE)
problem
Ip Dip
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
![Two numbers under the microscope](/sites/default/files/styles/medium/public/thumbnails/content-id-8059-icon.gif?itok=srPls4bz)
problem
Two numbers under the microscope
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
![Doubling Fives](/sites/default/files/styles/medium/public/thumbnails/content-id-10588-icon.jpg?itok=G4dba1L6)
![Double or Halve?](/sites/default/files/styles/medium/public/thumbnails/content-id-10654-icon.png?itok=Uz7E73ZF)
problem
Double or Halve?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
![Which symbol?](/sites/default/files/styles/medium/public/thumbnails/content-id-6777-icon.png?itok=RZG-oytk)
![Magic Plant](/sites/default/files/styles/medium/public/thumbnails/content-99-02-letme2-icon.gif?itok=lIbwXJDG)
problem
Magic Plant
On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?
![Ring a Ring of Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-2782-icon.png?itok=90NvaFQb)
problem
Ring a Ring of Numbers
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
![How Odd](/sites/default/files/styles/medium/public/thumbnails/content-id-7190-icon.gif?itok=ijrBovS8)
problem
How Odd
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
![The Amazing Splitting Plant](/sites/default/files/styles/medium/public/thumbnails/content-99-10-letme2-icon.jpg?itok=eGgc54R8)
problem
The Amazing Splitting Plant
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
![The tomato and the bean](/sites/default/files/styles/medium/public/thumbnails/content-01-11-penta1-icon.gif?itok=0FPGgAK_)
problem
The tomato and the bean
At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
![Lots of Lollies](/sites/default/files/styles/medium/public/thumbnails/content-id-2360-icon.png?itok=DhUS5VXQ)
problem
Lots of Lollies
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
![More Numbers in the Ring](/sites/default/files/styles/medium/public/thumbnails/content-id-2783-icon.png?itok=E-Mrwln-)
problem
More Numbers in the Ring
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
![Odd times Even](/sites/default/files/styles/medium/public/thumbnails/content-id-8062-icon.png?itok=AuQOnvzI)
problem
Odd times Even
This problem looks at how one example of your choice can show something about the general structure of multiplication.